LRS Bianchi type-I cosmological models with periodic time varying deceleration parameter in f(R,T) gravity

Pradhan, Anirudh; Dixit, Archana; Varshney, Gunjan

doi:10.1142/s0217751x22501214

Cited by 7 publications

(4 citation statements)

References 97 publications

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“…f R T gravity. Recently [43][44][45][46] investigated Bianchi type space-time in ( , ) f R T gravity. With this motivation, in this paper, we have emphasized to investigate the exact solution of LRS Bianchi type-I model in the framework of modified ( , )…”

Section: Eejp 3 (2023)mentioning

confidence: 99%

Energy Conditions and Statefinder Diagnostic of Cosmological Model with Special Law of Hubble Parameter in f(R, T) Gravity

Patil,

Bolke,

Waghmare

et al. 2023

East Eur. J. Phys.

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In this article, we examine the LRS Bianchi type-I cosmological model in the framework of f(R, T) gravity, where R is the Ricci scalar and T is the stress energy momentum tensor in the presence of Domain wall. we used the special law of variation of Hubble’s parameter proposed by Berman (1983) to obtained the exact solution of field equation, corresponds to the model of the universe. The Energy conditions and physical behaviour of the universe has been obtained and their evolution has been discussed using some physical parameter and by means of their graphs. Also, we can use the Statefinder parameter for testing the validity of the model.

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Section: Eejp 3 (2023)mentioning

confidence: 99%

Energy Conditions and Statefinder Diagnostic of Cosmological Model with Special Law of Hubble Parameter in f(R, T) Gravity

Patil,

Bolke,

Waghmare

et al. 2023

East Eur. J. Phys.

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show abstract

“…Additionally, this choice has the notable advantage of avoiding the introduction of higher-order derivatives into the field equations. However, it is important to acknowledge that our choice is not exhaustive, and there are various alternative functional forms for that could be explored [28,29,33].…”

Section: Cosmological Modelmentioning

confidence: 99%

“…This modified theory offers a promising way of tackling some of the challenges and unanswered questions in these fields. As a result, gravity has garnered considerable interest and has been the focus of numerous studies in recent years [26][27][28][29][30][31]. Recently, da Silva et al [32] explored the behavior of rapidly rotating neutron stars within the framework of gravity.…”

Section: Introductionmentioning

confidence: 99%

Constraining the cosmological model using recent observational data*

Myrzakulov,

Koussour,

Alfedeel

et al. 2023

Chinese Phys. C

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In this paper, we consider a comprehensive investigation of the cosmological model described by $f(R,T) = R + 2\lambda T$ (where $\lambda$ represents a free parameter) in light of the most recent observational data. By constraining the model using $Hubble$ and $Pantheon$ datasets, we determine its compatibility with the observed behavior of the Universe. For this purpose, we adopt a parametric form for the effective equation of state (EoS) parameter. This parametric form allows us to describe the evolution of the EoS parameter with respect to redshift and investigate its behavior during different cosmic epochs. The analysis of the deceleration parameter reveals an accelerating Universe with a present value of $q_0=-0.64^{+0.03}_{-0.03}$, indicating the current phase of accelerated expansion. The transition redshift is found to be $z_{tr}=0.53^{+0.04}_{-0.03}$, marking the epoch of transition from deceleration to acceleration. We also analyze the evolution of important cosmological parameters including density parameter, pressure, effective EoS, and stability. \textbf{These findings collectively demonstrate the viability of the $f(R,T)$ cosmological model as a robust candidate capable of engendering the requisite negative pressure, thereby efficiently propelling cosmic expansion. Moreover, the undertaken stability analysis underscores the model's stability within the broader cosmic landscape. By providing the best-fit values for the coupling parameter $\lambda$, this approach motivates and encourages further explorations into the extensive landscape of this model and its potential applications across diverse realms of cosmology and astronomy.

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“…Harko et al [23] included the trace of the Stressenergy tensor in the action along with the Ricci scalar and developed a new theory named ` theory'. This type of modified gravity has been extensively used recently to study various cosmological phenomena [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

-gravity in the context of dark energy with power law expansion and energy conditions*

Manna¹,

Panda²,

Karmakar³

et al. 2023

Chinese Phys. C

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The motto of this work is to generate a general formalism of $f(\bar{R}, L(X))-$gravity in the context of dark energy under the framework of the {\bf K-}essence emergent geometry with the Dirac-Born-Infeld (DBI) variety of action, where $\bar{R}$ is the familiar Ricci scalar, $L(X)$ is the DBI type non-canonical Lagrangian with $X={1\over 2}g^{\mu\nu}\nabla_{\mu}\phi\nabla_{\nu}\phi$ and $\phi$ is the {\bf K-}essence scalar field. The emergent gravity metric $\G_{\mu\nu}$ and the well known gravitational metric $g_{\mu\nu}$ are not conformally equivalent. We have constructed a modified field equation using the metric formalism in $f(\bar{R}, L(X))$-gravity incorporating the corresponding Friedmann equations in the framework of the background gravitational metric which is of Friedmann-Lema{\^i}tre-Robertson-Walker (FLRW) type. The solution of modified Friedmann equations have been deduced for the specific choice of $f(\bar{R}, L(X))$, which is of Starobinsky-type, using power law expansion method. The consistency of the model with the accelerating phase of the Universe has been shown, when we restrict ourselves to consider the value of the dark energy density, as $\dot\phi^{2}=\frac{8}{9}=0.888 <1$, which indicates that the present Universe is dark energy dominated. Graphical plots for the energy density ($\rho$), pressure ($p$) and equation of state parameter ($\o$) w.r.t. time ($t$) based on parametric values are interestingly consistent with the dark energy domination and hence accelerating features. We also put some light on the corresponding energy conditions and constraints of the $f(\bar{R}, L(X))$ theory with one basic example.

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LRS Bianchi type-I cosmological models with periodic time varying deceleration parameter in f(R,T) gravity

Cited by 7 publications

References 97 publications

Energy Conditions and Statefinder Diagnostic of Cosmological Model with Special Law of Hubble Parameter in f(R, T) Gravity

Energy Conditions and Statefinder Diagnostic of Cosmological Model with Special Law of Hubble Parameter in f(R, T) Gravity

Constraining the cosmological model using recent observational data*

-gravity in the context of dark energy with power law expansion and energy conditions*

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